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49998384 = 2434173223
BaseRepresentation
bin1011111010111…
…0101000110000
310111002011220000
42332232220300
5100244422014
64543350000
71144656612
oct276565060
9114064800
1049998384
112624a587
12148b2300
13a487757
1468d6db2
1545c9509
hex2faea30

49998384 has 100 divisors (see below), whose sum is σ = 146198976. Its totient is φ = 16495488.

The previous prime is 49998371. The next prime is 49998397. The reversal of 49998384 is 48389994.

It is an interprime number because it is at equal distance from previous prime (49998371) and next prime (49998397).

It is a super-2 number, since 2×499983842 = 4999676805222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49998384.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224097 + ... + 224319.

Almost surely, 249998384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49998384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73099488).

49998384 is an abundant number, since it is smaller than the sum of its proper divisors (96200592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49998384 is a wasteful number, since it uses less digits than its factorization.

49998384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 49998384 is about 7070.9535424863. The cubic root of 49998384 is about 368.3991808913.

The spelling of 49998384 in words is "forty-nine million, nine hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 223 324 346 432 446 519 648 669 692 892 1038 1296 1338 1384 1557 1784 2007 2076 2676 2768 3114 3568 4014 4152 4671 5352 6021 6228 8028 8304 9342 10704 12042 12456 14013 16056 18063 18684 24084 24912 28026 32112 36126 37368 38579 48168 56052 72252 74736 77158 96336 112104 115737 144504 154316 224208 231474 289008 308632 347211 462948 617264 694422 925896 1041633 1388844 1851792 2083266 2777688 3124899 4166532 5555376 6249798 8333064 12499596 16666128 24999192 49998384